What is the answer to |(x+1)/2 |-6=-2 ?

The answer to |(x+1)/2 |-6=-2 is x=-9\lor x=7

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|(x+1)/2 |-6=-2

\frac{x + 1}{2} - 6 = - 2

x = - 9 or x = 7

Solution steps

\frac{x + 1}{2} - 6 = - 2

Move

6

to the right side

\frac{x + 1}{2} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x + 1}{2} = - 4 or \frac{x + 1}{2} = 4

\frac{x + 1}{2} = - 4 or \frac{x + 1}{2} = 4

x = - 9 or x = 7

x^{2} - 2 x + ∣ 3 x - 6 ∣ = 5 x - 6 - x^{2}

x^{2} + 12 x - 28 = 9 x

∣ a + 15 ∣ = 2, a ∣ b - a ∣ = 2 b

11 ∣ 2 x + 3 ∣ - ∣ 2 x - 5 ∣ = 6

- x^{2} + x - 1 = ∣ x + 5 ∣

What is the answer to |(x+1)/2 |-6=-2 ?
The answer to |(x+1)/2 |-6=-2 is x=-9\lor x=7
Solve for x: |(x+1)/2 |-6=-2
The solution is x=-9\lor x=7